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Finding the Fourth Proportional to 512.72, 707.40 and 338

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Solution

The fourth proportional to 512.72, 707.40 and 338 is: 466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.72 : 707.40 = 338 : x
  2. Step 2: Convert to fraction form
    512.72/707.40 = 338/x
  3. Step 3: Cross multiply
    512.72x = 707.40 × 338
  4. Step 4: Simplify right side
    512.72x = 239,101.20
  5. Step 5: Solve for x
    x = 239,101.20/512.72
  6. Step 6: Final answer
    x = 466.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.